Overused, no. Misunderstood and camped up to ridiculous proportions, yes.
I played in an all-too-brief drow campaign way back in 2e, just after R.A. Salvatore's Drow trilogy came out. We were all psyched about inter-house politics, schemes, wars, you name it. One of the players was uncomfortable with the idea of being truly evil, and decided that her character was a secret worshiper of Eilistraee. While this gave us some good tension in the group (my character was Chaotic Neutral, so I had some leeway in how I treated people), it gave the DM a mandate to throw EVERYTHING at us. We had demons, illithids, pet beholders, TONS of spiders, and an entire city out for our blood. All because one player had heard too much about the over-the-top evil drow, and couldn't reconcile herself playing a character that was an actual member of that society. The game quickly became just another Underdark dungeon crawl, with us having the sole advantage of having been FROM the Underdark instead of from the surface.
Don't overstate the BoVD style of drow that everyone imagines them to be. By introducing subtle shades of difference (a CN house that is a little nicer to their slaves, or a NE house that isn't quite so selfish [at least amongst themselves]), you can keep the backstabbing down to a minimum, and give the characters longer role-playing time in the Underdark before the fit hits the shan and they have to either cut and run or stand and fight. Remember, they're chaotic FIRST. Before they were evil, they were chaotic, just like their cousins up on the surface. That allows you some latitude.